Geodesic
On Algebras all of Whose Subalgebras are Simple; Some Solutions of Plonka's Problem
Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 33

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For each cardinal number $\alpha\geq 1$, we construct two types of grupoids $\langle X_\alpha;\circ\rangle$ and $\langle X_\alpha; *\rangle$ which are hereditarily simple and have subgrupoids of all small orded. If $\alpha\geq \aleph_0$, we show that they both admit only discrete topology to become topological grupoids. An application of the grupoid $\langle X_\alpha; *\rangle$ in the theory of non-associative rings is indicated.
Classification : 20L05 17E05 
Sin-Min Lee. On Algebras all of Whose Subalgebras are Simple; Some Solutions of Plonka's Problem. Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 33 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_37_51_a6/
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     author = {Sin-Min Lee},
     title = {On {Algebras} all of {Whose} {Subalgebras} are {Simple;} {Some} {Solutions} of {Plonka's} {Problem}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {33 },
     year = {1985},
     volume = {_N_S_37},
     number = {51},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_37_51_a6/}
}
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